Details

sample209.0ms

Algorithm

intervals

Results

123.0ms	772×	body	80	nan
23.0ms	256×	body	80	valid

simplify42.0ms

Calls

1 calls:

Slowest

41.0ms

(* (sqrt (- x 1)) (sqrt x))

prune43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize97.0ms

Local error

Found 2 expressions with local error:

0.5b	(* (sqrt (- x 1)) (sqrt x))
0.0b	(sqrt (- x 1))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
21×	`sqrt-prod`
13×	`*-un-lft-identity`
10×	`associate-l`
7×	`pow1` `add-cube-cbrt`
6×	`associate-r`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `difference-of-squares` `unswap-sqr`
3×	`sqrt-pow1` `pow1/2` `pow-prod-down`
2×	`expm1-log1p-u` `flip3--` `difference-of-sqr-1` `associate-*l/` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Calls

2 calls:

Slowest

61.0ms	(* (sqrt (- x 1)) (sqrt x))
12.0ms	(sqrt (- x 1))

series189.0ms

Calls

2 calls:

Slowest

135.0ms	(* (sqrt (- x 1)) (sqrt x))
53.0ms	(sqrt (- x 1))

simplify1.9s

Calls

49 calls:

Slowest

391.0ms	(* (sqrt (- x 1)) (sqrt x))
388.0ms	(* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
344.0ms	(* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x))
131.0ms	(+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (pow x 2) (sqrt -1))) (sqrt -1)))
81.0ms	(* (sqrt (- (* x x) (* 1 1))) (sqrt x))

prune413.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Calls

0 calls:

Slowest

series0.0ms

Calls

0 calls:

Slowest

simplify0.0ms

Calls

0 calls:

Slowest

prune5.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Calls

4 calls:

Slowest

8.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Calls

4 calls:

Slowest

359.0ms	(* (cbrt x) (cbrt x))
291.0ms	(cbrt x)
266.0ms	(cbrt x)
255.0ms	(cbrt x)

simplify992.0ms

Calls

66 calls:

Slowest

131.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
120.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
111.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
100.0ms	(* (pow (pow x 2) 1/3) (pow (cbrt -1) 2))
71.0ms	(* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x))))

prune840.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

28.0b	(sqrt (- (* x x) x))
0.0b	(- (* x x) x)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
46×	`add-cube-cbrt`
45×	`prod-diff`
18×	`associate-r` `associate-l`
17×	`sqrt-prod`
15×	`fma-neg`
14×	`swap-sqr`
10×	`distribute-rgt-out--` `difference-of-squares`
8×	`*-commutative` `distribute-lft-out--`
6×	`unswap-sqr`
4×	`add-log-exp`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Calls

2 calls:

Slowest

39.0ms	(- (* x x) x)
33.0ms	(sqrt (- (* x x) x))

series109.0ms

Calls

2 calls:

Slowest

70.0ms	(- (* x x) x)
38.0ms	(sqrt (- (* x x) x))

simplify3.8s

Calls

152 calls:

Slowest

482.0ms	(sqrt (- (* (* x x) (* x x)) (* x x)))
202.0ms	(sqrt (- (pow (* x x) 3) (pow x 3)))
153.0ms	(fma (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x)) (- (* (cbrt x) (* (cbrt x) (cbrt x)))))
115.0ms	(fma (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x)) (- (* x 1)))
100.0ms	(- x (+ (* 1/8 (/ 1 x)) 1/2))

prune852.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.7s	23702×	body	80	nan
589.0ms	7993×	body	80	valid
1.0ms	7×	body	160	valid